Option (a): Interchanging 116 and 92
92 - 116 ÷ 4 + 25 X 2 - 20 = 150
92 - 29 + 25 X 2 - 20 = 150
92 - 29 + 50 - 20 = 150
92 + 21 - 20 = 150
113 - 20 = 150
93 ≠ 150
LHS is not equal to RHS.
So, option (a) is incorrect.
Option (b): Interchanging 25 and 20
116 - 92 ÷ 4 + 20 X 2 - 25 = 150
116 - 23 + 20 X 2 - 25 = 150
116 - 23 + 40 - 25 = 150
116 + 17 - 25 = 150
133 - 25 = 150
108 ≠ 150
LHS is not equal to RHS.
So, option (b) is incorrect.
Option (a: Interchanging 2 and 4
116 - 92 ÷ 2 + 25 X 4 - 20 = 150
116 - 46 + 25 X 4 - 20 = 150
116 - 46 + 100 - 20 = 150
116 + 54 - 20 = 150
170 - 20 = 150
150 = 150
LHS is equal to RHS.
So, option (c) is correct.
Option (d): Interchanging 20 and 92
116 - 20 ÷ 4 + 25 X 2 - 92 = 150
116 - 5 + 25 X 2 - 92 = 150
116 - 5 + 50 - 92 = 150
116 + 45 - 92 = 150
161 - 92 = 150
69 ≠ 150
LHS is not equal to RHS.
So, option (d) is incorrect.